11117299142208 has 448 divisors, whose sum is σ = 35058436075520. Its totient is φ = 3043141705728.

The previous prime is 11117299142179. The next prime is 11117299142221. The reversal of 11117299142208 is 80224199271111.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 883511085 + ... + 883523667.

Almost surely, 2^{11117299142208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11117299142208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17529218037760).

11117299142208 is an abundant number, since it is smaller than the sum of its proper divisors (23941136933312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11117299142208 is a wasteful number, since it uses less digits than its factorization.

11117299142208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12914 (or 12904 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 48.

The spelling of 11117299142208 in words is "eleven trillion, one hundred seventeen billion, two hundred ninety-nine million, one hundred forty-two thousand, two hundred eight".